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Finding the Fourth Proportional to 23,174.32, 31,980.54 and 12,563.86

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Solution

The fourth proportional to 23,174.32, 31,980.54 and 12,563.86 is: 17,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.32 : 31,980.54 = 12,563.86 : x
  2. Step 2: Convert to fraction form
    23,174.32/31,980.54 = 12,563.86/x
  3. Step 3: Cross multiply
    23,174.32x = 31,980.54 × 12,563.86
  4. Step 4: Simplify right side
    23,174.32x = 401,799,027.28
  5. Step 5: Solve for x
    x = 401,799,027.28/23,174.32
  6. Step 6: Final answer
    x = 17,338.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.